Which solution will meet this requirement?

Explanations:

Switching from Aurora to Amazon RDS with Multi-AZ deployment would not directly address the issue of reducing failover time or managing too many connections effectively. RDS Multi-AZ is designed for high availability but may not provide the same performance benefits as Aurora in terms of failover.

Using Amazon RDS Proxy in front of the Aurora database can help manage database connections more efficiently, reducing the number of connections and improving overall performance. It can also streamline failover processes, potentially reducing the failover time when a read replica is promoted to primary.

Switching to Amazon DynamoDB with DAX would not be appropriate as it involves a completely different database architecture and may not be suitable for the existing MySQL workloads. Additionally, it does not directly address the failover time issue related to Aurora.

Switching to Amazon Redshift with relocation capability does not address the requirements of reducing failover time or managing connections in an Aurora MySQL environment. Redshift is optimized for analytics and not for transactional workloads typical of MySQL databases.